ISSN 1817-2172, рег. Эл. № ФС77-39410, ВАК

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Exponential Stability of Linear Uncertain Polytopic Systems with Distributed Time-Varying Delays

Автор(ы):

Le Van Hien

136 Xuan Thuy road,
Cau Giay District,
Hanoi, Vietnam
Mathematics Department,
Hanoi National University of Education

hienlv@hnue.edu.vn

Аннотация:

In this paper, a class of uncertain linear polytopic systems with distributed time varying delays is studied. By using an improved parameter dependent Lyapunov-Krasovskii functional approach and linear matrix inequality technique, delay-dependent sufficient conditions for exponential stability of the system are first established in terms of Mondie-Kharitonov type's linear matrix inequalities (LMIs). Numerical example is presented to demonstrate the effectiveness of the proposed conditions.

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